Search a number
-
+
12422160644000 = 2553171278114293
BaseRepresentation
bin1011010011000100001001…
…1110001111011110100000
31121222112202201210211101212
42310301002132033132200
53112011041111102000
642230354541445252
72421320502203042
oct264610236173640
947875681724355
1012422160644000
113a5a232925018
1214875b8570828
136c1535237813
1430d342dbba92
151681e00cac35
hexb4c4278f7a0

12422160644000 has 192 divisors, whose sum is σ = 32321405948832. Its totient is φ = 4675885056000.

The previous prime is 12422160643979. The next prime is 12422160644021. The reversal of 12422160644000 is 44606122421.

It is an interprime number because it is at equal distance from previous prime (12422160643979) and next prime (12422160644021).

It can be written as a sum of positive squares in 16 ways, for example, as 1113978924304 + 11308181719696 = 1055452^2 + 3362764^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869100854 + ... + 869115146.

Almost surely, 212422160644000 is an apocalyptic number.

12422160644000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422160644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160702974416).

12422160644000 is an abundant number, since it is smaller than the sum of its proper divisors (19899245304832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12422160644000 is a wasteful number, since it uses less digits than its factorization.

12422160644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27116 (or 27098 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12422160644000 its reverse (44606122421), we get a palindrome (12466766766421).

The spelling of 12422160644000 in words is "twelve trillion, four hundred twenty-two billion, one hundred sixty million, six hundred forty-four thousand".